Can f ( R ) gravity relieve (H_0) and (sigma _8) tensions?

摘要

To investigate whether f(R) gravity can relieve current $$H_0$$ H 0 and $$sigma _8$$ σ 8 tensions, we constrain the Hu-Sawicki f(R) gravity with Planck-2018 cosmic microwave background and redshift space distortions observations. We find that this model fails to relieve both $$H_0$$ H 0 and $$sigma _8$$ σ 8 tensions, and that its two typical parameters $$log _{10}f_{R0}$$ log 10 f R 0 and n are insensitive to other cosmological parameters. Combining the cosmic microwave background, baryon acoustic oscillations, Type Ia supernovae, cosmic chronometers with redshift space distortions observations, we give our best constraint $$log _{10}f_{R0}-6.75$$ log 10 f R 0 - 6.75 at the $$2sigma $$ 2 σ confidence level.